The number 9743
9743 is the 1202nd prime number. Its only divisors are 1 and 9743.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9743: the 1202nd prime number.
- 2
9743 is prime, so its only factors are 1 and 9743. It is the 1202nd prime; the next prime is 9749 and the one before is 9739.
- 3
The divisors add up to 9744; without 9743 itself that is 1, so 9743 is deficient (1 is less than 9743). Euler's totient φ(9743) = 9742 numbers up to 9743 share no factor with it.
- 4
The digits of 9743 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
9743 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 9744 |
| Euler totient φ(n) | 9742 |
| Square | 94926049 |
| Cube | 924864495407 |
| Square root | 98.706636 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 47 |
| Scientific notation | 9.743 × |
9743 in other forms
| Form | Value |
|---|---|
| In words | nine thousand seven hundred and forty-three |
| Binary (base 2) | 10011000001111 |
| Octal (base 8) | 23017 |
| Hexadecimal (base 16) | 260F |
| Base 3 | 111100212 |
| As time | 9743 seconds = 2 h 42 min 23 s |
Is 9743 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9743 a prime number?
Yes. 9743 is divisible only by 1 and itself.
What are the factors of 9743?
1, 9743.
What is 9743 in binary?
10011000001111 (hexadecimal 260F, octal 23017).
What is the square root of 9743?
About 98.7066.
Is 9743 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 9743?
9743 is the 1202nd prime number.